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Global Differential Geometry pp 231–274Cite as

Mean Curvature Flow in Higher Codimension: Introduction and Survey

Part of the Springer Proceedings in Mathematics book series (PROM,volume 17)

Abstract

In this text we outline the major techniques, concepts and results in mean curvature flow with a focus on higher codimension. In addition we include a few novel results and some material that cannot be found elsewhere.

Keywords

  • Riemannian Manifold
  • Curvature Flow
  • Fundamental Form
  • Ahler Manifold
  • Curvature Vector

These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Authors and Affiliations

  1. Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167, Hannover, Germany

    Knut Smoczyk

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  1. Knut Smoczyk
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Correspondence to Knut Smoczyk .

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Editors and Affiliations

  1. Inst. Mathematik, Universität Potsdam, Potsdam, Brandenburg, Germany

    Christian Bär

  2. , Mathematisches Institut, Universität Münster, Einsteinstraße 62, Münster, 48149, Germany

    Joachim Lohkamp

  3. , Fakultät für Mathematik und Informatik, Universität Leipzig, Johannisgasse 26, Leipzig, 04103, Sachsen, Germany

    Matthias Schwarz

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Smoczyk, K. (2012). Mean Curvature Flow in Higher Codimension: Introduction and Survey. In: Bär, C., Lohkamp, J., Schwarz, M. (eds) Global Differential Geometry. Springer Proceedings in Mathematics, vol 17. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-22842-1_9

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